Zhang, Lixian.

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering [electronic resource] / by Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu. - 1st ed. 2016. - XIV, 258 p. 72 illus., 23 illus. in color. online resource. - Studies in Systems, Decision and Control, 53 2198-4190 ; . - Studies in Systems, Decision and Control, 53 .

Introduction -- Stability and Stabilization -- Performance Analysis -- Control -- Filtering -- Asynchronous Switched Systems: ADT Switching -- Time-Delay Switched Systems.

This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals. Chapter 1, as an introduction of the book, gives the backgrounds and motivations of switched systems, the definitions of the typical time-dependent switching signals, the differences and links to other types of systems with hybrid characteristics and a literature review mainly on the control and filtering for the underlying systems. By summarizing the multiple Lyapunov-like functions (MLFs) approach in which different requirements on comparisons of Lyapunov function values at switching instants, a series of methodologies are developed for the issues on stability and stabilization, and l2-gain performance or tube-based robustness for l∞ disturbance, respectively, in Chapters 2 and 3. Chapters 4 and 5 are devoted to the control and filtering problems for the time-dependent switched linear systems with either polytopic uncertainties or measurable time-varying parameters in different sense of disturbances. The asynchronous switching problem, where there is time lag between the switching of the currently activated system mode and the controller/filter to be designed, is investigated in Chapter 6. The systems with various time delays under typical time-dependent switching signals are addressed in Chapter 7.

9783319288505

10.1007/978-3-319-28850-5 doi


Control engineering.
Dynamics.
Nonlinear theories.
System theory.
Control theory.
Nonlinear Optics.
Control and Systems Theory.
Applied Dynamical Systems.
Systems Theory, Control .
Nonlinear Optics.

TJ212-225

629.8312 003